Homework 1due Wednesday, June 29 2011Note: You should explain the logic behind your calculations to get full credit.1In a standard poker deck, there are 52 cards: each of four suits (hearts, diamonds, spades, andclubs) contains 13 denominations (the numbers 2 through 10, a Jack, a King, a Queen, andan Ace). The Jack, Queen, King, and Ace cards function as 11, 12, 13, and 14, respectively,and an Ace can also be used as a 1. For our purposes, ahandconsists of a set of five cardsfrom this deck. A hand is said to be astraightif the cards form a sequence of consecutivenumbers. A hand is said to be afull houseif 3 of the cards have the same denominationand the other two have the same denomination (which is different from the first one), e.g.three Aces and two Jacks.Suppose we add three new cards to the deck – the Ace, 2, and Jack of a new suit, “Cakes.”For each hand, compute only the inclusive probabilities – that is, when counting straights,there is no need to throw out the straights which are also straight flushes.
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